functional

// -*- C++ -*-
//===------------------------ functional ----------------------------------===//
//
//                     The LLVM Compiler Infrastructure
//
// This file is dual licensed under the MIT and the University of Illinois Open
// Source Licenses. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//

#ifndef _LIBCPP_FUNCTIONAL
#define _LIBCPP_FUNCTIONAL

/*
    functional synopsis

namespace std
{

template <class Arg, class Result>
struct unary_function
{
    typedef Arg    argument_type;
    typedef Result result_type;
};

template <class Arg1, class Arg2, class Result>
struct binary_function
{
    typedef Arg1   first_argument_type;
    typedef Arg2   second_argument_type;
    typedef Result result_type;
};

template <class T>
class reference_wrapper
    : public unary_function<T1, R> // if wrapping a unary functor
    : public binary_function<T1, T2, R> // if wraping a binary functor
{
public:
    // types
    typedef T type;
    typedef see below result_type; // Not always defined

    // construct/copy/destroy
    reference_wrapper(T&) noexcept;
    reference_wrapper(T&&) = delete; // do not bind to temps
    reference_wrapper(const reference_wrapper<T>& x) noexcept;

    // assignment
    reference_wrapper& operator=(const reference_wrapper<T>& x) noexcept;

    // access
    operator T& () const noexcept;
    T& get() const noexcept;

    // invoke
    template <class... ArgTypes>
      typename result_of<T(ArgTypes...)>::type
          operator() (ArgTypes&&...) const;
};

template <class T> reference_wrapper<T> ref(T& t) noexcept;
template <class T> void ref(const T&& t) = delete;
template <class T> reference_wrapper<T> ref(reference_wrapper<T>t) noexcept;

template <class T> reference_wrapper<const T> cref(const T& t) noexcept;
template <class T> void cref(const T&& t) = delete;
template <class T> reference_wrapper<const T> cref(reference_wrapper<T> t) noexcept;

template <class T> // <class T=void> in C++14
struct plus : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct minus : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct multiplies : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct divides : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct modulus : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct negate : unary_function<T, T>
{
    T operator()(const T& x) const;
};

template <class T> // <class T=void> in C++14
struct equal_to : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct not_equal_to : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct greater : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct less : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct greater_equal : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct less_equal : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct logical_and : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct logical_or : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct logical_not : unary_function<T, bool>
{
    bool operator()(const T& x) const;
};

template <class T> // <class T=void> in C++14
struct bit_and : unary_function<T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct bit_or : unary_function<T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct bit_xor : unary_function<T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T=void> // C++14
struct bit_xor : unary_function<T, bool>
{
    bool operator()(const T& x) const;
};

template <class Predicate>
class unary_negate
    : public unary_function<typename Predicate::argument_type, bool>
{
public:
    explicit unary_negate(const Predicate& pred);
    bool operator()(const typename Predicate::argument_type& x) const;
};

template <class Predicate> unary_negate<Predicate> not1(const Predicate& pred);

template <class Predicate>
class binary_negate
    : public binary_function<typename Predicate::first_argument_type,
                             typename Predicate::second_argument_type,
                             bool>
{
public:
    explicit binary_negate(const Predicate& pred);
    bool operator()(const typename Predicate::first_argument_type& x,
                    const typename Predicate::second_argument_type& y) const;
};

template <class Predicate> binary_negate<Predicate> not2(const Predicate& pred);

template<class T> struct is_bind_expression;
template<class T> struct is_placeholder;

template<class Fn, class... BoundArgs>
  unspecified bind(Fn&&, BoundArgs&&...);
template<class R, class Fn, class... BoundArgs>
  unspecified bind(Fn&&, BoundArgs&&...);

namespace placeholders {
  // M is the implementation-defined number of placeholders
  extern unspecified _1;
  extern unspecified _2;
  .
  .
  .
  extern unspecified _Mp;
}

template <class Operation>
class binder1st
    : public unary_function<typename Operation::second_argument_type,
                            typename Operation::result_type>
{
protected:
    Operation                               op;
    typename Operation::first_argument_type value;
public:
    binder1st(const Operation& x, const typename Operation::first_argument_type y);
    typename Operation::result_type operator()(      typename Operation::second_argument_type& x) const;
    typename Operation::result_type operator()(const typename Operation::second_argument_type& x) const;
};

template <class Operation, class T>
binder1st<Operation> bind1st(const Operation& op, const T& x);

template <class Operation>
class binder2nd
    : public unary_function<typename Operation::first_argument_type,
                            typename Operation::result_type>
{
protected:
    Operation                                op;
    typename Operation::second_argument_type value;
public:
    binder2nd(const Operation& x, const typename Operation::second_argument_type y);
    typename Operation::result_type operator()(      typename Operation::first_argument_type& x) const;
    typename Operation::result_type operator()(const typename Operation::first_argument_type& x) const;
};

template <class Operation, class T>
binder2nd<Operation> bind2nd(const Operation& op, const T& x);

template <class Arg, class Result>
class pointer_to_unary_function : public unary_function<Arg, Result>
{
public:
    explicit pointer_to_unary_function(Result (*f)(Arg));
    Result operator()(Arg x) const;
};

template <class Arg, class Result>
pointer_to_unary_function<Arg,Result> ptr_fun(Result (*f)(Arg));

template <class Arg1, class Arg2, class Result>
class pointer_to_binary_function : public binary_function<Arg1, Arg2, Result>
{
public:
    explicit pointer_to_binary_function(Result (*f)(Arg1, Arg2));
    Result operator()(Arg1 x, Arg2 y) const;
};

template <class Arg1, class Arg2, class Result>
pointer_to_binary_function<Arg1,Arg2,Result> ptr_fun(Result (*f)(Arg1,Arg2));

template<class S, class T>
class mem_fun_t : public unary_function<T*, S>
{
public:
    explicit mem_fun_t(S (T::*p)());
    S operator()(T* p) const;
};

template<class S, class T, class A>
class mem_fun1_t : public binary_function<T*, A, S>
{
public:
    explicit mem_fun1_t(S (T::*p)(A));
    S operator()(T* p, A x) const;
};

template<class S, class T>          mem_fun_t<S,T>    mem_fun(S (T::*f)());
template<class S, class T, class A> mem_fun1_t<S,T,A> mem_fun(S (T::*f)(A));

template<class S, class T>
class mem_fun_ref_t : public unary_function<T, S>
{
public:
    explicit mem_fun_ref_t(S (T::*p)());
    S operator()(T& p) const;
};

template<class S, class T, class A>
class mem_fun1_ref_t : public binary_function<T, A, S>
{
public:
    explicit mem_fun1_ref_t(S (T::*p)(A));
    S operator()(T& p, A x) const;
};

template<class S, class T>          mem_fun_ref_t<S,T>    mem_fun_ref(S (T::*f)());
template<class S, class T, class A> mem_fun1_ref_t<S,T,A> mem_fun_ref(S (T::*f)(A));

template <class S, class T>
class const_mem_fun_t : public unary_function<const T*, S>
{
public:
    explicit const_mem_fun_t(S (T::*p)() const);
    S operator()(const T* p) const;
};

template <class S, class T, class A>
class const_mem_fun1_t : public binary_function<const T*, A, S>
{
public:
    explicit const_mem_fun1_t(S (T::*p)(A) const);
    S operator()(const T* p, A x) const;
};

template <class S, class T>          const_mem_fun_t<S,T>    mem_fun(S (T::*f)() const);
template <class S, class T, class A> const_mem_fun1_t<S,T,A> mem_fun(S (T::*f)(A) const);

template <class S, class T>
class const_mem_fun_ref_t : public unary_function<T, S>
{
public:
    explicit const_mem_fun_ref_t(S (T::*p)() const);
    S operator()(const T& p) const;
};

template <class S, class T, class A>
class const_mem_fun1_ref_t : public binary_function<T, A, S>
{
public:
    explicit const_mem_fun1_ref_t(S (T::*p)(A) const);
    S operator()(const T& p, A x) const;
};

template <class S, class T>          const_mem_fun_ref_t<S,T>    mem_fun_ref(S (T::*f)() const);
template <class S, class T, class A> const_mem_fun1_ref_t<S,T,A> mem_fun_ref(S (T::*f)(A) const);

template<class R, class T> unspecified mem_fn(R T::*);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...));
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) const);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) volatile);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) const volatile);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) &);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) const &);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) volatile &);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) const volatile &);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) &&);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) const &&);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) volatile &&);
template<class R, class T, class... Args> unspecified mem_fn(R (T::*)(Args...) const volatile &&);

class bad_function_call
    : public exception
{
};

template<class> class function; // undefined

template<class R, class... ArgTypes>
class function<R(ArgTypes...)>
  : public unary_function<T1, R>      // iff sizeof...(ArgTypes) == 1 and
                                      // ArgTypes contains T1
  : public binary_function<T1, T2, R> // iff sizeof...(ArgTypes) == 2 and
                                      // ArgTypes contains T1 and T2
{
public:
    typedef R result_type;

    // construct/copy/destroy:
    function() noexcept;
    function(nullptr_t) noexcept;
    function(const function&);
    function(function&&) noexcept;
    template<class F>
      function(F);
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&) noexcept;
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&, nullptr_t) noexcept;
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&, const function&);
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&, function&&);
    template<class F, Allocator Alloc>
      function(allocator_arg_t, const Alloc&, F);

    function& operator=(const function&);
    function& operator=(function&&) noexcept;
    function& operator=(nullptr_t) noexcept;
    template<class F>
      function& operator=(F&&);
    template<class F>
      function& operator=(reference_wrapper<F>) noexcept;

    ~function();

    // function modifiers:
    void swap(function&) noexcept;
    template<class F, class Alloc>
      void assign(F&&, const Alloc&);

    // function capacity:
    explicit operator bool() const noexcept;

    // function invocation:
    R operator()(ArgTypes...) const;

    // function target access:
    const std::type_info& target_type() const noexcept;
    template <typename T>       T* target() noexcept;
    template <typename T> const T* target() const noexcept;
};

// Null pointer comparisons:
template <class R, class ... ArgTypes>
  bool operator==(const function<R(ArgTypes...)>&, nullptr_t) noexcept;

template <class R, class ... ArgTypes>
  bool operator==(nullptr_t, const function<R(ArgTypes...)>&) noexcept;

template <class R, class ... ArgTypes>
  bool operator!=(const function<R(ArgTypes...)>&, nullptr_t) noexcept;

template <class  R, class ... ArgTypes>
  bool operator!=(nullptr_t, const function<R(ArgTypes...)>&) noexcept;

// specialized algorithms:
template <class  R, class ... ArgTypes>
  void swap(function<R(ArgTypes...)>&, function<R(ArgTypes...)>&) noexcept;

template <class T> struct hash;

template <> struct hash<bool>;
template <> struct hash<char>;
template <> struct hash<signed char>;
template <> struct hash<unsigned char>;
template <> struct hash<char16_t>;
template <> struct hash<char32_t>;
template <> struct hash<wchar_t>;
template <> struct hash<short>;
template <> struct hash<unsigned short>;
template <> struct hash<int>;
template <> struct hash<unsigned int>;
template <> struct hash<long>;
template <> struct hash<long long>;
template <> struct hash<unsigned long>;
template <> struct hash<unsigned long long>;

template <> struct hash<float>;
template <> struct hash<double>;
template <> struct hash<long double>;

template<class T> struct hash<T*>;

}  // std

POLICY:  For non-variadic implementations, the number of arguments is limited
         to 3.  It is hoped that the need for non-variadic implementations
         will be minimal.

*/

#include <__config>
#include <type_traits>
#include <typeinfo>
#include <exception>
#include <memory>
#include <tuple>

#include <__functional_base>

#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif

_LIBCPP_BEGIN_NAMESPACE_STD

#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY plus : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x + __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY plus<void>
{
    template <class _T1, class _T2>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) + _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY minus : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x - __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY minus<void>
{
    template <class _T1, class _T2>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) - _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY multiplies : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x * __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY multiplies<void>
{
    template <class _T1, class _T2>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) * _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY divides : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x / __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY divides<void>
{
    template <class _T1, class _T2>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) / _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY modulus : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x % __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY modulus<void>
{
    template <class _T1, class _T2>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) % _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY negate : unary_function<_Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x) const
        {return -__x;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY negate<void>
{
    template <class _Tp>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_Tp&& __x) const
        { return -_VSTD::forward<_Tp>(__x); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY equal_to : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x == __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY equal_to<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) == _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY not_equal_to : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x != __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY not_equal_to<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) != _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY greater : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x > __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY greater<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) > _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


// less in <__functional_base>

#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY greater_equal : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x >= __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY greater_equal<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) >= _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY less_equal : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x <= __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY less_equal<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) <= _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY logical_and : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x && __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY logical_and<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) && _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY logical_or : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x || __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY logical_or<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) || _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY logical_not : unary_function<_Tp, bool>
{
    _LIBCPP_INLINE_VISIBILITY bool operator()(const _Tp& __x) const
        {return !__x;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY logical_not<void>
{
    template <class _Tp>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_Tp&& __x) const
        { return !_VSTD::forward<_Tp>(__x); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY bit_and : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x & __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY bit_and<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) & _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY bit_or : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x | __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY bit_or<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) | _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TYPE_VIS_ONLY bit_xor : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x ^ __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TYPE_VIS_ONLY bit_xor<void>
{
    template <class _T1, class _T2> _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
        { return _VSTD::forward<_T1>(__t) ^ _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
struct _LIBCPP_TYPE_VIS_ONLY bit_not : unary_function<_Tp, _Tp>
{
    _LIBCPP_INLINE_VISIBILITY _Tp operator()(const _Tp& __x) const
        {return ~__x;}
};

template <>
struct _LIBCPP_TYPE_VIS_ONLY bit_not<void>
{
    template <class _Tp>
    _LIBCPP_INLINE_VISIBILITY auto operator()(_Tp&& __x) const
        { return ~_VSTD::forward<_Tp>(__x); }
    typedef void is_transparent;
};
#endif

template <class _Predicate>
class _LIBCPP_TYPE_VIS_ONLY unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
{
    _Predicate __pred_;
public:
    _LIBCPP_INLINE_VISIBILITY explicit unary_negate(const _Predicate& __pred)
        : __pred_(__pred) {}
    _LIBCPP_INLINE_VISIBILITY bool operator()(const typename _Predicate::argument_type& __x) const
        {return !__pred_(__x);}
};

template <class _Predicate>
inline _LIBCPP_INLINE_VISIBILITY
unary_negate<_Predicate>
not1(const _Predicate& __pred) {return unary_negate<_Predicate>(__pred);}

template <class _Predicate>
class _LIBCPP_TYPE_VIS_ONLY binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
                             typename _Predicate::second_argument_type,
                             bool>
{
    _Predicate __pred_;
public:
    _LIBCPP_INLINE_VISIBILITY explicit binary_negate(const _Predicate& __pred)
        : __pred_(__pred) {}
    _LIBCPP_INLINE_VISIBILITY bool operator()(const typename _Predicate::first_argument_type& __x,
                    const typename _Predicate::second_argument_type& __y) const
        {return !__pred_(__x, __y);}
};

template <class _Predicate>
inline _LIBCPP_INLINE_VISIBILITY
binary_negate<_Predicate>
not2(const _Predicate& __pred) {return binary_negate<_Predicate>(__pred);}

template <class __Operation>
class _LIBCPP_TYPE_VIS_ONLY binder1st
    : public unary_function<typename __Operation::second_argument_type,
                            typename __Operation::result_type>
{
protected:
    __Operation                               op;
    typename __Operation::first_argument_type value;
public:
    _LIBCPP_INLINE_VISIBILITY binder1st(const __Operation& __x,
                               const typename __Operation::first_argument_type __y)
        : op(__x), value(__y) {}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (typename __Operation::second_argument_type& __x) const
            {return op(value, __x);}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (const typename __Operation::second_argument_type& __x) const
            {return op(value, __x);}
};

template <class __Operation, class _Tp>
inline _LIBCPP_INLINE_VISIBILITY
binder1st<__Operation>
bind1st(const __Operation& __op, const _Tp& __x)
    {return binder1st<__Operation>(__op, __x);}

template <class __Operation>
class _LIBCPP_TYPE_VIS_ONLY binder2nd
    : public unary_function<typename __Operation::first_argument_type,
                            typename __Operation::result_type>
{
protected:
    __Operation                                op;
    typename __Operation::second_argument_type value;
public:
    _LIBCPP_INLINE_VISIBILITY
    binder2nd(const __Operation& __x, const typename __Operation::second_argument_type __y)
        : op(__x), value(__y) {}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (      typename __Operation::first_argument_type& __x) const
            {return op(__x, value);}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (const typename __Operation::first_argument_type& __x) const
            {return op(__x, value);}
};

template <class __Operation, class _Tp>
inline _LIBCPP_INLINE_VISIBILITY
binder2nd<__Operation>
bind2nd(const __Operation& __op, const _Tp& __x)
    {return binder2nd<__Operation>(__op, __x);}

template <class _Arg, class _Result>